The Dawn of Ultrafast Nonlinear Optics in the Terahertz Regime

Abstract

AbstractThe terahertz (THz) frequency range is a specific region of the electromagnetic spectrum also known as the far-infrared (FIR) region. More precisely, THz waves cover the region from 100 GHz to 20 THz, thus bridging the gap between microwaves and infrared light. Physically, 1 THz is equivalent to a wavelength of 300 μm in vacuum, to 33.3 cm−1 in terms of wave numbers, to a photon energy of 4 meV, or to a temperature of 48 K. THz waves have the ability to penetrate various materials including non-metallic compounds (papers and plastics), organics, gases, and liquids, thus being a powerful tool for spectroscopic sensing [1]. This portion of the electromagnetic spectrum has been accessible for some time by various means including molecular gas lasers, gyrotrons, and free-electron lasers [2]. Due to complexity, cost, and limited frequencies of operation, these sources have traditionally made it difficult to gain full access to the terahertz frequency range. Nevertheless, there were several pioneering works in nonlinear FIR spectroscopy already in the early 1970s, about one decade after the advent of the laser (readers may find a review in [3]). In particular, saturated absorption in the FIR region was first studied in 1970, which led to the optically pumped FIR gas laser [4]. In the 1980s, the first demonstration of THz radiation coherently generated and detected was made. This result coincided with the development of ultrafast lasers and was obtained using a photoconductive antenna emitter [5], where photoexcited carriers induced by an ultrafast laser pulse are accelerated by a biasing electric field. The resulting time varying current J(t) radiates an electromagnetic transient, \( E \propto \partial J/\partial t \), whose amplitude and phase depend on various parameters such as carrier mobility, carrier lifetime, bias field, and on the impurity doping concentration [6]. This allowed the birth of coherent time-domain THz spectroscopy (TDTS) [1], which provided unprecedented insights into the nature of molecular vibrations, carrier dynamics in semiconductors, and protein kinetics [7–12]. Even with 30 years of rapid advances in the study of light–matter interactions at THz frequencies, lack of efficient emitters and sensitive detectors in this frequency range has for long time slowed down THz linear and nonlinear spectroscopy.KeywordsProbe BeamPump BeamOptical RectificationIntervalley ScatteringPeak Electric FieldThese keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.